<s>
In	O
mathematics	O
,	O
mimesis	B-Algorithm
is	O
the	O
quality	O
of	O
a	O
numerical	O
method	O
which	O
imitates	O
some	O
properties	O
of	O
the	O
continuum	O
problem	O
.	O
</s>
<s>
The	O
goal	O
of	O
numerical	B-General_Concept
analysis	I-General_Concept
is	O
to	O
approximate	O
the	O
continuum	O
,	O
so	O
instead	O
of	O
solving	O
a	O
partial	O
differential	O
equation	O
one	O
aims	O
to	O
solve	O
a	O
discrete	O
version	O
of	O
the	O
continuum	O
problem	O
.	O
</s>
<s>
Properties	O
of	O
the	O
continuum	O
problem	O
commonly	O
imitated	O
by	O
numerical	B-General_Concept
methods	I-General_Concept
are	O
conservation	O
laws	O
,	O
solution	O
symmetries	O
,	O
and	O
fundamental	O
identities	O
and	O
theorems	O
of	O
vector	O
and	O
tensor	O
calculus	O
like	O
the	O
divergence	O
theorem	O
.	O
</s>
<s>
Both	O
finite	B-Algorithm
difference	I-Algorithm
or	O
finite	B-Application
element	I-Application
method	I-Application
can	O
be	O
mimetic	B-Algorithm
;	O
it	O
depends	O
on	O
the	O
properties	O
that	O
the	O
method	O
has	O
.	O
</s>
<s>
For	O
example	O
,	O
a	O
mixed	O
finite	B-Application
element	I-Application
method	I-Application
applied	O
to	O
Darcy	O
flows	O
strictly	O
conserves	O
the	O
mass	O
of	O
the	O
flowing	O
fluid	O
.	O
</s>
<s>
The	O
term	O
geometric	B-Algorithm
integration	I-Algorithm
denotes	O
the	O
same	O
philosophy	O
.	O
</s>
